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| JuntaoPAN,ShuminFEI,YudongNI,MingxiangXUE |
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| (Key Laboratory of Measurement and Control of Complex Systems of Engineering (Ministry of Education), Southeast University; LAMIH, UMR CNRS8503, University of Valenciennes et Hainaut-Cambr´esis;School of Science, Hefei University of Technology) |
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| DOI： |
| Received:April 20, 2010Revised:August 13, 2010 |
| 基金项目:This work was supported by the National Natural Science Foundation of China-Key Program (No. 60835001), and the National Natural Science Foundation of China (No. 61104068). |
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| New approaches to relaxed stabilization conditions and H-infinity control designs for T-S fuzzy systems |
| Juntao PAN,Shumin FEI,Yudong NI,Mingxiang XUE |
| (Key Laboratory of Measurement and Control of Complex Systems of Engineering (Ministry of Education), Southeast University; LAMIH, UMR CNRS8503, University of Valenciennes et Hainaut-Cambr´esis;School of Science, Hefei University of Technology) |
| Abstract: |
| This paper focuses on the problem of fuzzy control for a class of continuous-time T-S fuzzy systems. New methods of stabilization design and H-infinity control are derived based on a relaxed approach in which both fuzzy Lyapunov functions and staircase membership functions are used. Through the staircase membership functions approximating the continuous membership functions of the given fuzzy model, the membership functions can be brought into the design conditions of fuzzy systems, thereby significantly reducing the conservativeness in the recent fuzzy controller design methods. Unlike some previous fuzzy Lyapunov function approaches reported in the literatures, the proposed design techniques of stabilization and H-infinity control do not depend on the time-derivative of the membership functions that may be pointed out as the main source of conservatism when considering fuzzy Lyapunov functions analysis. Moreover, conditions for the solvability of the controller design given here are written in the form of linear matrix inequalities, but not bilinear matrix inequalities, which are easier to be solved by convex optimization techniques. Simulation examples are given to demonstrate the validity and applicability of the proposed approaches. |
| Key words: T-S fuzzy systems Fuzzy Lyapunov functions Staircase membership functions Linear matrix inequalities |
